A ${10}^{\text{'}\text{'}}$ square column delivers a $10$ k column load to a footing and the allowable soil pressure is $2,000psf.$

A$.$ The plans specify an $8^{\text{'}}{8}^{\text{'}}$ base width $($B$)$ footing for this column. What is the required dimension base width of the square footing? Can the $8^{\text{'}}{8}^{\text{'}}$ footing safely carry the column load? $(10$ pts$)$

B$.$ The plans specify a $20"$ footing thickness for the entire project regardless of location. Would this thickness be sufficient if the punching shear stress is not to exceed $50$ psi $?$ Use the base width $($B$)$ you have calculated above. Calculate a new thickness if necessary. $(10$ pts$)$